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Sketch a phase portrait that shows an unstable limit

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4.1.6Sketch a phase portrait that shows an unstable limit cycle.
Chapter 4.24.2.1Verify that for values of n less than 8, the system goes to a stable equilibrium, but as n passes 8,the equilibrium point becomes unstable, and a stable oscillation is created.4
LS 30BHomework 1 SolutionsJan 17, 2018
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LS 30BHomework 1 SolutionsJan 17, 20184.2.2Verify that a variety of initial conditions all approach the same limit cycle attractor in the H/P/Gsystem.
4.2.3Verify the assertion that the negative feedback model with just the H and G states will not oscillate,no matter how steep the feedback.6
LS 30BHomework 1 SolutionsJan 17, 2018HG models with n = 10, 30, 100. IC=(5,3)HG model, n=10, k1 = k2 = k3 = .2HG model, n=30, k1 = k2 = k3 = .2HG model, n=100, k1 = k2 = k3 = .27
LS 30BHomework 1 SolutionsJan 17, 2018

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Term
Fall
Professor
garfinkel
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